It's not a dealbreaker for practical reasons, it's for moral ones. I don't think they should even ask for or collect that data, given the ability to de-anonymize that the additional information provides them. They don't need it and shouldn't ask. Especially as most people don't know they can just make stuff up, and never do.
I'm with you, I make up email addresses, mail addresses, credit card numbers, pseudonyms, genders, birthdates etc...